Question

In an army camp, there was food for 1000 soldiers for one month. After 10 days 1000 more soldiers joined. How long would the remaining food be sufficient for the soldiers?

• A. 8 days
• B. 10 days
• C. 12 days
• D. 11 days

Answer 1

The correct option is B

10 days

Suppose that one soldier consumes one unit of food per day.

Then, total units of food on first day will be 1000 x 30 = 30,000

Hence, the amount of food that's consumed by 1000 soldiers in 10 days is 10,000 units.

$\therefore$ Amount of food left after 10 days = 30,000 - 10,000 = 20,000 units

Number of soldiers after 10 days = 1000 + 1000 = 2,000

They eat one unit of food each day.

Hence, the number of days that 20,000 units of food will be sufficient for 2,000 soldiers is $\frac{20000}{2000}$ days, which is, 10 days.